Abstract Based on the diffraction effect of sub-wavelength dielectric grating and the optical property of periodic photonic crystal, a hybrid structure of sub-wavelength grating all-dielectric multilayer thin film containing periodic photonic crystal is proposed. The transmission property of the structure is simulated by finite element method (FEM). The result shows that the discrete state generated by the sub-wavelength waveguide grating will be coupled with the continuous state generated by the photonic crystal cavity and the Fano resonance can be formed. The Fano resonance sensing model based on structural parameters and resonance wavelength are established, the influence of structural parameters on the Fano resonance spectral curve is quantitatively analyzed by numerical simulations, and the dynamic detection of the refractive index of samples is realized. The above structure can realize the optical refractive index sensing with high figure of merit (FOM) value and provide an effective theoretical reference for the formation of Fano resonance in the all-dielectric hybrid structure.

中文翻译：

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基于耦合亚波长介质光栅和周期光子晶体的法诺共振传感

摘要 基于亚波长介质光栅的衍射效应和周期光子晶体的光学特性，提出了一种含有周期光子晶体的亚波长光栅全介质多层薄膜混合结构。采用有限元法(FEM)对结构的传输特性进行模拟。结果表明，亚波长波导光栅产生的离散态会与光子晶体腔产生的连续态耦合，形成法诺共振。建立了基于结构参数和共振波长的Fano共振传感模型，通过数值模拟定量分析了结构参数对Fano共振光谱曲线的影响，实现了样品折射率的动态检测。上述结构可以实现高品质因数（FOM）值的光学折射率传感，为全介电混合结构中Fano共振的形成提供有效的理论参考。